On the Deformation of Lie–Yamaguti Algebras  

作　　者：Jie LIN Liang Yun CHEN Yao MA 

机构地区：[1]Sino-European Institute of Aviation Engineering, Civil Aviation University of China [2]School of Mathematics and Statistics, Northeast Normal University

出　　处：《Acta Mathematica Sinica,English Series》2015年第6期938-946,共9页数学学报（英文版）

基　　金：Supported by NSFC(Grant Nos.11226054,11171055 and 11471090);Scientific Research Foundation of civil Aviation University of China(Grant No.09QD08X);Fundamental Research Funds for the Central Universities(Grant No.3122014K011);Natural Science Foundation of Jilin province(Grant No.201115006);Scientific Research Foundation for Returned Scholar Ministry of Education of China

摘　　要：The deformation theory of Lie-Yamaguti algebras is developed by choosing a suitable cohomology. The relationship between the deformation and the obstruction of Lie-Yamaguti algebras is obtained.The deformation theory of Lie-Yamaguti algebras is developed by choosing a suitable cohomology. The relationship between the deformation and the obstruction of Lie-Yamaguti algebras is obtained.

关 键 词：Lie-Yamaguti algebra algebraic deformation COHOMOLOGY 

分 类 号：O153[理学—数学]